integrateIntensityLocal_exp: Integrate the multivariate exponential intensity with local...

In nimbleSCR: Spatial Capture-Recapture (SCR) Methods Using 'nimble'

Integrate the multivariate exponential intensity with local evaluation

Description

Calculate the integral of the intensity function with an isotropic multivariate exponential kernel over a set of windows. The local evaluation technique is implemented.

Usage

integrateIntensityLocal_exp(
  lowerCoords,
  upperCoords,
  s,
  baseIntensities,
  lambda,
  numLocalWindows,
  localWindows
)

Arguments

lowerCoords, upperCoords	Matrices of lower and upper x- and y-coordinates of a set of windows. One row for each window.
s	Vector of x- and y-coordinates of the isotropic multivariate exponential distribution mean (AC location).
baseIntensities	Vector of baseline intensities for all windows.
lambda	Rate parameter of the isotropic multivariate exponential distribution.
numLocalWindows	Number of windows that are close to the activity center
localWindows	Vector of indices of the windows that are close to the activity center.

Value

A vector of integrated intensities over all local windows.

Author(s)

Cyril Milleret and Wei Zhang

References

W. Zhang, J. D. Chipperfield, J. B. Illian, P. Dupont, C. Milleret, P. de Valpine and R. Bischof. 2020. A hierarchical point process model for spatial capture-recapture data. bioRxiv. DOI 10.1101/2020.10.06.325035

Examples

lowerCoords <- matrix(c(0, 0, 1, 0, 0, 1, 1, 1), nrow = 4, byrow = TRUE)
upperCoords <- matrix(c(1, 1, 2, 1, 1, 2, 2, 2), nrow = 4, byrow = TRUE)
s <- c(0.1, 0.9)
lambda <- 0.1
baseIntensities <- c(1:4)
numLocalWindows <- 2
localWindows <- c(1, 3)
integrateIntensityLocal_exp(lowerCoords, upperCoords,
                            s, baseIntensities, lambda, 
                            numLocalWindows, localWindows)

nimbleSCR documentation built on Dec. 1, 2022, 1:17 a.m.